A variable of two populations has a mean of 8 and a standard deviation of 6 for one of the populations and a mean of 7 and a standard deviation of 5 for the other population.(a)For independent samples of sizes 3 and 6, respectively, find the mean and standard deviation of ?̅ 1 − ?̅ 2 (b)Must the variable under consideration be normally distributed on each of the two populations for you to answer part (a)? Explain your answer (c)Can you conclude that the variable ?̅ 1 − ?̅ 2 is normally distributed? Explain your answer. 2. A variable of two populations has a mean of 8 and a standard deviation of 6 for one of thepopulations and a mean of 7 and a standard deviation of 5 for the other population.(a)For independent samples of sizes 3 and 6, respectively, find the mean and standard deviation of X 1-X2(b)Must the variable under consideration be normally distributed on each of the two populations foryou to answer part (a)? Explain your answer(c)Can you conclude that the variable X 1-X 2 is normally distributed? Explain your answer.

Name: A variable of two populations has a mean of 8 and a standard deviation
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Description: A variable of two populations has a mean of 8 and a standard deviation of 6 for one of the populations and a mean of 7 and a standard deviation of 5 for the other population.(a)For independent samples of sizes 3 and 6, respectively, find the mean and

Introduction: The sampling distribution of the sample mean, X̄, based on a sample of size n, taken…

Answered: 2. A variable of two populations has a…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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A variable of two populations has a mean of 8 and a standard deviation of 6 for one of the populations and a mean of 7 and a standard deviation of 5 for the other population.

(a)For independent samples of sizes 3 and 6, respectively, find the mean and standard deviation of ?̅ 1 − ?̅ 2

(b)Must the variable under consideration be normally distributed on each of the two populations for you to answer part (a)? Explain your answer

(c)Can you conclude that the variable ?̅ 1 − ?̅ 2 is normally distributed? Explain your answer.

2. A variable of two populations has a mean of 8 and a standard deviation of 6 for one of the
populations and a mean of 7 and a standard deviation of 5 for the other population.
(a)For independent samples of sizes 3 and 6, respectively, find the mean and standard deviation of X 1-
X2
(b)Must the variable under consideration be normally distributed on each of the two populations for
you to answer part (a)? Explain your answer
(c)Can you conclude that the variable X 1-X 2 is normally distributed? Explain your answer.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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